Given sin 0=7/4and angle 0 is in quadrant 1 what is the exact value of cos 0 in simplest form? Simplify all radics if needed
Answers
Answer:
Answer: ¾
Step-by-step explanation:
» From the trigonometric identities:
[tex]{ \tt{ \sin {}^{2} \theta + \cos {}^{2} \theta = 1 }}[/tex]
» Substitute to the formular:
[tex]{ \tt {( \frac{ \sqrt{7} }{4} )}^{2} + { \cos }^{2} \theta = 1 } \\ \\ { \tt{ \frac{7}{16} + { \cos}^{2} \theta = 1 }} \\ \\ { \tt{ \cos {}^{2} \theta = 1 - \frac{7}{16} }} \\ \\ { \tt{( \cos\theta) {}^{2} = \frac{9}{16} }} \\ \\ { \tt{ \sqrt{ {( \cos \theta}^{2}) } = \sqrt{( \frac{9}{16}) } }} \\ \\ { \tt{ \cos \theta = \frac{ \sqrt{9} }{ \sqrt{16} } }} \\ \\ { \boxed{ \tt{ \cos \theta = \frac{3}{4} }}}[/tex]
Related Questions
Maura wants to buy fencing to install around a square garden in her yard. the perimeter of the garden can be represented by the equation p = 4√a where a is the area of the garden.
Examine the graph that represents this situation.
Examine the graph that represents this situation.
The graph appears to begin at (0,0).
Is (0,0) a valid point in terms of the context of the situation? Why or why not?
Select the option that correctly answers both questions.
A) The point is valid in terms of the context because when Maura buys 0 feet of fence, the perimeter of the garden is 0 feet.
B) The point is not valid in terms of the context because the garden can't have an area of 0 square feet.
C) The point is valid in terms of the context because it represents the smallest garden Maura can have as well as the amount of fence she must buy.
D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.
Answers
The correct option regarding the point (0,0) is the context of this function is given by:
D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.
What is the function?The perimeter of a garden of area a is given by:
[tex]p = 4\sqrt{a}[/tex]
If there is no garden, that is, the area is 0, the perimeter is also 0, hence point (0,0) is valid, which means that option D is correct.
More can be learned about functions at https://brainly.com/question/25537936
Solve the equation
Algebra 2 Honors High school
Answers
Answer:
x = 59
Step-by-step explanation:
[tex]\sqrt[3]{2x+7}[/tex] = 5 ( raise both sides to the power of 3 )
([tex]\sqrt[3]{2x+7}[/tex] )³ = 5³
2x + 7 = 125 ( subtract 7 from both sides )
2x = 118 ( divide both sides by 2 )
x = 59
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
WHAT IS THE VALUE OF X?
Answers
Answer:
x = 20
Step-by-step explanation:
180 - 45 = 5x + 35
180 - 45 = 135
5x + 35 = 135
5x + 35 - 35 = 135 - 35
5x = 100
5x/5 = 100/5
x = 20
Answer:
x=20
Step-by-step explantion:
180-45=135
we have,
135=5x+35
135-35=5x
100=5x
100/5=x
20=x
Find the volume of a right rectangular prism that has a base area of 54 square centimeters and a height of 413 centimeters.
Answers
Answer:multiply base times height
Step-by-step explanation:
V=lwh
V=bh
lw=V
find the value of the power.
0.9^2 =
Answers
Hello!
0,9^2
0,9²
0,9 × 0,9
0,81
The value of the power 0,9^2 is 0,81
_____________________________
Solve each system of equations using the elimination method
3x+4y=23
3x-2y=11
Answers
Answer: (x,y) = (5,2)
In other words, x = 5 and y = 2
====================================================
Explanation:
Subtract the equations straight down.
The x terms subtract to 3x-3x = 0x and they go away (hence the term "elimination").The y terms subtract to 4y-(-2y) = 6yThe right hand sides subtract to 23-11 = 12We end up with 6y = 12 which solves to y = 2 after dividing both sides by 6.
Now use this y value to find x.
If we used the first equation, then we have these steps
3x+4y = 23
3x+4(2) = 23
3x+8 = 23
3x = 23-8
3x = 15
x = 15/3
x = 5
Or we could use the second equation
3x-2y = 11
3x-2(2) = 11
3x-4 = 11
3x = 11+4
3x = 15
x = 15/3
x = 5
We get the same x value either way.
The solution is (x,y) = (5,2)
To check the answer, plug those coordinates into each equation. After simplifying, you should get the same number on both sides.
------------------
Check:
3x+4y = 23
3(5)+4(2) = 23
15+8 = 23
23 = 23 .. that works
and,
3x-2y = 11
3(5)-2(2) = 11
15 - 4 = 11
11 = 11 .. that works as well
Both original equations are true for those x and y values.
The solution is fully confirmed.
Solve B) simultaneously please
Answers
Answer: .....
Ok done. Thank to me :>
Draw a line to match each word with its definition
Thx ! ♡☆
Answers
Answer:
1. C
2. E
3. D
4. B
5. A
Hope This Helps!!!
Answer:
4 -2,3 -4,2 -5,5 -1,1 -3
I hope this helps you
Two – a third of a number is 4 more than 6 .Find the number
Answers
Answer:
-24
Step-by-step explanation:
First, at up an equation based on the problem:
2 - ⅓x = 4 + 6
Then, solve for x:
2 - ⅓x = 10
-⅓x = 8
x = -24
OR
2 = 10 + ⅓x
-8 = ⅓x
-24 = x
Please help me out!! Show your work:()
Answers
Answer:
23.6
Step-by-step explanation:
A=1/2abSinC
A=1/2*6*8*Sin80
= 24 * Sin 80
=23.635
Not sure if this is 100% correct Sowwie
1) Erik has a job at Hobby Lobby and he
makes $13 an hour. If he works for 6
hours on Saturday, how much will he
make that day?
Answers
Answer:
78
Step-by-step explanation:
is there more to this problem?
13. 00* 6 = 78
equivalent fractions for
2/9
and
5/6
using the least common denominator.
Answers
Answer:
4/18 and 15/18
Step-by-step explanation:
trust me bro
Answer:4/18 and 15/18
Step-by-step explanation:trust the progres kk
find an expression equivalent to 4x – 4 – 2x + 3.
Answers
Answer:
2x-1
Step-by-step explanation:
⇒ [tex]4x-4-2x+3\\\\[/tex]
⇒ [tex]4x-2x-4+3[/tex]
⇒ [tex]2x-1[/tex]
Hence, 2x-1 is equivalent to 4x – 4 – 2x + 3.
Hope it will help you.
Answer:
2x - 1
Step-by-step explanation:
4x - 2x - 4 + 3
2x - 1
hope this helps
A gardener needs to plant 60 plants.In 2 hours, he planted 25% of the plants. How many plants does he still have left to plant?
Answers
Answer:
45
Step-by-step explanation:
Because 15 plants is 25% of 60 plants
Hope it helps :)
solve: 2x + 5y = -1
3x + 2y = 4
Answers
Answer:
x = 2, y = -1
(x,y) = > (2,-1)
Step-by-step explanation:
2x + 5y = -1
3x + 2y = 4
-3(2x + 5y = -1) = > -6x - 15y = 3
2(3x + 2y = 4) = > 6x + 4y = 8
-6x - 15y = 3
6x + 4y = 8
-11y = 11
/-11 /-11
y = -1
2x + 5y = -1
2x + 5(-1) = -1
2x -5 = -1
+5 +5
2x = 4
/2 /2
x = 2
(x,y) = > (2,-1)
Hope this helps!
(6,1),(4,-3),(3,2),(-1,-3)
What’s the domain and range please help :)
Answers
Answer:
Domain :( 6,4,3,-1 ) = x values
Range :( 1,-3,2 ) = y values
Answer:
(6,4,3,-1) is the domain
And (1,-3,2,-3) is the range
Step-by-step explanation:
Always remember that first component is the domain and the last component is the range
find the value of x i need it for homework
Answers
Step-by-step explanation:
x+3x+90=360
4x=360-90
x=270/4
x=67.5
Answer:
x=67.5°
Step-by-step explanation:
x + 3x= 270°
(x + 3x) → 4x
4x=270
4x/4=270/4
x=67.5°
Hope it helps! :)
slove for x. round to the nearest tenth if necessary
Answers
Answer:
65,93 cm or what is it is x
In the given figure, find the value of x and y?
Answers
Answer:
x = 6 cmy ≈ 14.5°Step-by-step explanation:
The given diagram shows two points labeled B. Rename the one on segment CD as E.
We assume that AE is supposed to be the bisector of angle A. Since triangle ABC is isosceles, segment AE will be perpendicular to BC. In that case, triangle EBC is also isosceles, which means BE is also 6 cm.
Angle ABC is exterior to triangle BCD, so has a measure that is the sum of angles BDC and BCD. That is, angle ABC is 2y+y=3y. Angle CBE is also y, so angle ABE will be 3y+y=4y. This exterior angle to triangle BED is the sum of angles BED and BDE. We know BDE is 2y, so BED is 4y-2y=2y, which means triangle BED is isosceles and BD=BE=EC=x=6 cm.
__
Finding the measure of angle y is a bit tricky. We know that angle ABC is 3y, and angle EBC is y. If we say X is the midpoint of BC, where AE crosses BC, then we can write the trig relations ...
BX=BA·cos(3y)
BX=BE·cos(y)
Filling in the measures of BA and BE, we can equate expressions for BX to get ...
8cos(3y) = 6cos(y)
Using the trig identity for cos(3y), we can write this as ...
8(4cos(y)³ -3cos(y)) = 6cos(y)
32cos(y)³ -30cos(y) = 0
2cos(y)(16cos(y)² -15) = 0
This has solutions cos(y)=0 and cos(y) = ±√(15/16). We are interested in the positive solution only:
y = arccos(√15/16) ≈ 14.478°
The value of y is about 14.5°.
―6 + (4 + 4)2 ÷ 2
This is my problem I need help with
Answers
Answer:
2
Step-by-step explanation:
you do the (* first so it 8 then you add it with -6 which decreases it that makes 2 and 2 divided by 2 is one so add all together and get 2
BIDMAS stands for brackets, index , division,multiplication,additional,subtract
-6 + (8)2\2
-6+8x1
So you got -6+8 which is 2
please help me!!!!!!
Answers
Answer:
sorry i can see it its blured
What are the coordinates of point S"?
2. (x, IM) o Do. 1 (x, y is applied
The composition D
y
to ARST to create the image of AR"S"T", which is not
shown.
(
( )
y
14
12
10
E
0 0
8
6
4
2+
2
(이
2
-14-12-10 -8 6 4 22
X
4 6 8 10 12
4
6
-8-
T
-10
-12
-145
Answers
Answer:
S" = (-3/2, 9/2) = (-1.5, 4.5)
Step-by-step explanation:
The two dilation factors multiply each other, so the dilation of the final image relative to the initial figure is (3/2)(1/2) = 3/4.
S" = 3/4S = 3/4(-2, 6)
S" = (-3/2, 9/2) = (-1.5, 4.5)
The coordinates of point S" are (-3/2, 9/2) = (-1.5, 4.5)
What are Coordinates?This involves the use of one or more numbers to uniquely determine the position of the points or other geometric elements.
We have to multiply the dilation factors which will result in:
(3/2)(1/2) = 3/4.
S" = 3/4S = 3/4(-2, 6)
S" = (-3/2, 9/2) = (-1.5, 4.5)
Read more about Coordinates here https://brainly.com/question/17206319
Based on the Pythagorean Theorem, which of
the following is NOT true?
F b2 + a2 = c2
G b2 + c2 = a 2
H C2 - a2 = 62
J c2-b2 = a2
Answers
Answer:
G is not TRUE.
Step-by-step explanation:
using the law A+B = B+A
PYTHAGOREAN THEOREM
A²+B² =C² is equal to B² +A² = C²
So for A²,
B² - c² = A. remember if a positive number move from the left to the right over an equal sign it becomes negative and vice versa
B²
C² - A²= B²
What is 22 (Square root) rounded to the nearest whole number?
Answers
Answer:
[tex]\sqrt{22}\approx5[/tex]
Step-by-step explanation:
We know that [tex]\sqrt{16}=4[/tex] and [tex]\sqrt{25}=5[/tex], so since 22 is closest to 25, then we can say that [tex]\sqrt{22}\approx5[/tex]
Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number.
Which equations represent the situation?
A: 2Y+x=5
5x-y=3
B: 2x+y=5
5y-X= 3
C: 2y + x = 5
y-5x = 3
D: 2x+y-5
X-5y = 3
Answers
Answer:
The equations which represents the situation are
1) 2Y+X=5
2) 5X-Y=3
Step-by-step explanation:
~Cornasha_Weeb
HELP PLEASE!!! help needed asappp
Answers
Answer:
c
Step-by-step explanation:
t(a+2)= 3+a+2/a+2-3= 5+a/a-1
solve for the correlation coefficient, evrything is in the image
Answers
Answer:
The value of R is -0.5212
This is a moderate negative correlation, which means there is a tendency for high X variable scores to go with low Y variable scores (and vice versa).
Step-by-step explanation:
Use the sketch below and determine how many squares will be in Step 4.
Answers
From step 1 to step 2 they added 3 squares.
From step 2 to step 3 they added 5 squares.
Each step they add the next odd number in sequence: 3,5,7,9,etc.
So for step 4 they would add 7 more squares. Add 7 to the number of squares in step 3 for total squares:
7 + 9 = 16
step 4 will have 16 squares.
PLEASE HELP!
The diagram represents triangle ABC with angle measures 55°, 80°, and X
Question (a) Use the information on the diagram to determine the measure of x.
Question (b) Order the lengths of the sides of ABC from shortest to longest.
Answers
Not sure for (b)
Step-by-step explanation:
(a)55+80+x=180 (angles inside the triangle)
135+×=+180
x=180-135
x=45
1.35 = 7x what is x ( other than 0.19285714 )
Answers
Hey there!
7x = 1.35
DIVIDE 7 to BOTH SIDES
7x/7 = 1.35/7
CANCEL out: 7/7 because it give you 1
KEEP: 1.35/7 because it give you the x-value
NEW EQUATION: x = 1.35/7
SIMPLIFY IT!
x = 0.192857
x ≈ 192,857/1,000,000
Therefore, your answer is:
x = 0.192857 or x = 192,857/1,000,000
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)